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22705912384 = 262912233789
BaseRepresentation
bin10101001001011000…
…001011101001000000
32011121102011212012221
4111021120023221000
5333000203144014
614233030300424
71432450033201
oct251130135100
964542155187
1022705912384
1196a1994051
1244981b7714
1321ab18151c
1411558175a8
158cd5bcb24
hex54960ba40

22705912384 has 28 divisors (see below), whose sum is σ = 46610739900. Its totient is φ = 10961474048.

The previous prime is 22705912367. The next prime is 22705912447. The reversal of 22705912384 is 48321950722.

It can be written as a sum of positive squares in 2 ways, for example, as 7361640000 + 15344272384 = 85800^2 + 123872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22705912384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6115039 + ... + 6118750.

Almost surely, 222705912384 is an apocalyptic number.

It is an amenable number.

22705912384 is an abundant number, since it is smaller than the sum of its proper divisors (23904827516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22705912384 is a wasteful number, since it uses less digits than its factorization.

22705912384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233830 (or 12233820 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

It can be divided in two parts, 22705 and 912384, that added together give a square (935089 = 9672).

The spelling of 22705912384 in words is "twenty-two billion, seven hundred five million, nine hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 12233789 24467578 48935156 97870312 195740624 354779881 391481248 709559762 782962496 1419119524 2838239048 5676478096 11352956192 22705912384